the length of a rectangle picture frame is 3 in less than four times the with. the perimeter is 174in. find the length and with

Answer 1

This problem can be solved by creating an equation and solving it to find the dimensions of the rectangle.

Let's use the variable w to represent the width of the rectangle.

Then we can write the following expression to represent the length of the rectangle: 4w - 3

Since the perimeter of a rectangle can be calculated by adding 2 times the length to 2 times the width , we can write the following equation for the perimeter (P) of the rectangle:

P = 2 • length + 2 • width

174 = 2 • (4w - 3) + 2 • w

Use the distributive property, combine like terms, and use inverse operations to determine the value of w:

174 = 8w - 6 + 2w

174 = 10w - 6

174 +6 = 10w - 6 + 6

180 = 10w

180/10 = 10w/10

18 = w

The width of the rectangle is 18 inches .

The length will be 4 • 18 - 3 = 72-3 = 69 inches